Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type

Richard Lechner, and Markus Passenbrunner. "Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type." Bulletin of the Polish Academy of Sciences. Mathematics 62.2 (2014): 139-159. <http://eudml.org/doc/281344>.

@article{RichardLechner2014,
abstract = {In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.},
author = {Richard Lechner, Markus Passenbrunner},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {space of homogeneous type; vector-valued space; UMD-space; adaptive dyadic grid; rearrangement operator; stripe operator; martingale difference sequence; vector-valued theorem},
language = {eng},
number = {2},
pages = {139-159},
title = {Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type},
url = {http://eudml.org/doc/281344},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Richard Lechner
AU - Markus Passenbrunner
TI - Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 2
SP - 139
EP - 159
AB - In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.
LA - eng
KW - space of homogeneous type; vector-valued space; UMD-space; adaptive dyadic grid; rearrangement operator; stripe operator; martingale difference sequence; vector-valued theorem
UR - http://eudml.org/doc/281344
ER -